Small border of grass (5)
I believe the answer is:
sedge
'grass' is the definition.
(I've seen this before)
'small border' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'border' becomes 'edge' (synonyms).
's'+'edge'='SEDGE'
'of' is the link.
(Other definitions for sedge that I've seen before include "Plant growing in swampy ground" , "Marsh-dweller" , "Coarse grassy plant" , "fly by rivers" , "water-loving vegetation" .)